名校
1 . 已知双曲线
上一点到双曲线左、右焦点的距离之差为4,若抛物线
上的两点
关于直线
对称,且
,则实数m的值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ec7fa23be9cbe9a50607ea6bc8a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf210c8c9e83e70f2d3ede1e18a5f3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9979824cde49098a08b096d203ced9c1.png)
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2020-03-21更新
|
329次组卷
|
4卷引用:2019届河北省石家庄市第一中学高三下学期冲刺模拟(七)数学(文)试题
2019届河北省石家庄市第一中学高三下学期冲刺模拟(七)数学(文)试题(已下线)单元卷 圆锥曲线与方程(提高卷)-2020-2021学年高二数学课时同步练(苏教版选修1-1)(已下线)第2章 圆锥曲线与方程(提高卷)-2020-2021学年高二数学课时同步练(苏教版选修2-1)江苏省扬州中学2021-2022学年高二下学期开学检测数学试题
名校
2 . 已知椭圆
与双曲线
(
,
)有相同的焦点,其左、右焦点分别为
、
,若椭圆与双曲线在第一象限内的交点为
,且
,则双曲线的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fafc477133c81a8398101452d25500c.png)
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名校
解题方法
3 . 设
,
是双曲线
的两个焦点,
是
上的一点,若
,且
的最小内角的余弦值为
,则双曲线
的离心率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afd750536ef202d554f1f3ebd96cd70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c14ff9b66f21c05e52dc3c8908c2df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
4 . 已知
,
分别为双曲线C:
(
,
)的左、右焦点,O为坐标原点.若右支上一点P满足
,且
,则C的渐近线方程为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8d042c651b485fcb08c765bea3e292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be23728dc83a1a6d3ef27a797b2dc77e.png)
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解题方法
5 . 若双曲线
-y2=1(n>1)的左、右焦点分别为F1,F2,点P在双曲线上,且满足|PF1|+|PF2|=2
,则△PF1F2的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02b1648800a3102c351abacc309f1986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79359410e01b6f4afec08935927e2671.png)
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2020-11-06更新
|
211次组卷
|
5卷引用:上海市杨浦区2016-2017学年高二下学期期中数学试题
上海市杨浦区2016-2017学年高二下学期期中数学试题(已下线)【新教材精创】2.6.1+双曲线的标准方程-A基础练-人教B版高中数学选择性必修第一册(已下线)【新教材精创】3.2.1+双曲线及其标准方程-A基础练-人教A版高中数学选择性必修第一册福建省龙岩市上杭县第一中学2020-2021学年高二上学期数学期末复习试题(已下线)3.2.1 双曲线及其标准方程(练习)
6 . 已知椭圆
的左右顶点分别为
,
,且
,
为
上不同两点(
,
位于
轴右侧),
,
关于
的对称点分别为为
,
,直线
、
相交于点
,直线
、
相交于点
,已知点
,则
的最小值为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a2350b54e88be27fe9aae210ed626c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b7d857811cbd619f868d951aa7a0ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8a233cff61a4c4b142369dba917cfb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cabe764f05300ac83c7d16b685d27af4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae3a47e231dcbb00667109b40722bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0111b7f4e692fa561c72b4fc23806ffa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8270b8bba168baaa592029486ecdf11.png)
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2020-03-10更新
|
683次组卷
|
3卷引用:2020届浙江省金华市金华十校高三11月模拟考试数学试题
名校
解题方法
7 . 已知双曲线
的左、右焦点为
、
,过点
的直线
与双曲线
的左支交于
、
两点,
的面积是
面积的三倍,
,则双曲线
的离心率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a2cfa22139b3e9c9a73500e1ba19f52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47444b5fbc4252516d54263062e47c81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2cfd997d3b66a3b8f7731b26f0ab0c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c58b91c76f6024bd69b7e05fb0f222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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2020-02-14更新
|
371次组卷
|
4卷引用:2019届重庆市高三4月(二诊)调研测试卷(康德版)文科数学试题
名校
8 . 设
、
是双曲线
的两个焦点,
是双曲线上的一点,且
,则
的周长______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2345c4a372c8143281fbecca78f451b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8cb34dcf9fdfc494d9cf2cf1a4ad31b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a9df1061c3ba5151ba2f7359acaf356.png)
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2020-01-31更新
|
452次组卷
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8卷引用:上海市南洋模范中学2019届高三下学期3月月考数学试题
名校
9 . 双曲线
上一点
到它的一个焦点的距离等于9,那么点
到另一个焦点的距离等于________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
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2020-01-14更新
|
231次组卷
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5卷引用:甘肃省兰州市联片办学2019-2020学年高二上学期期末数学(理)试题
甘肃省兰州市联片办学2019-2020学年高二上学期期末数学(理)试题四川省泸县第二中学2019-2020学年高二下学期第一次在线月考数学(理)试题四川省泸县第二中学2019-2020学年高二下学期第一次在线月考数学(文)试题(已下线)专题2.1 圆锥曲线-2020-2021学年高二数学课时同步练(苏教版选修1-1)(已下线)专题2.1 圆锥曲线-2020-2021学年高二数学课时同步练(苏教版选修2-1)
10 . 已知双曲线
的左、右集点分别为
,若双曲线上点
使
,则
的面积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c58fa4a337f0b81b991fb32e8e6e3c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04f9bdc6d9f09e14b037ea7d3ee1f623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/002ed1ebb2cb936e10ab478789f91c7c.png)
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2020-09-02更新
|
2006次组卷
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5卷引用:2016-2017学年河北武邑中学高二文周考10.9数学试卷
2016-2017学年河北武邑中学高二文周考10.9数学试卷内蒙古自治区太仆寺旗宝昌一中2016-2017学年高二下学期期中考试数学试题(已下线)考点43 双曲线(讲解)-2021年高考数学复习一轮复习笔记吉林省榆树市第一高级中学2020-2021学年第一学期高二期中考试数学(理)试题(已下线)2.6.1 双曲线的标准方程(分层练习)-2023-2024学年高二数学同步精品课堂(人教B版2019选择性必修第一册)